answer:Since ab<0, it implies that a and b have opposite signs. Similarly, bc<0 indicates that b and c have opposite signs as well. For the line ax+by+c=0, if we set x=0, then y=-frac{c}{b}. Given bc<0, it means -frac{c}{b} will be positive, which implies that the line crosses the y-axis above the origin, i.e., in Quadrants I and II. If we set y=0, then x=-frac{c}{a}. Since ab<0, it means a and c have the same sign, making -frac{c}{a} negative. This implies that the line crosses the x-axis to the left of the origin, i.e., in Quadrants II and III. Combining these observations, the line passes through Quadrants I, II, and III. Therefore, the correct answer is boxed{text{A: Quadrants I, II, III}}.

answer:To find the total number of pieces of gum Robin has, we need to multiply the number of packages by the number of pieces in each package. 27 packages * 18 pieces per package = 486 pieces Robin has boxed{486} pieces of gum.

answer:- The prime factorization of 143 is 11 cdot 13. - Using the formula for the sum of divisors, we have (1 + 11)(1 + 13). - Calculating the product: (1 + 11)(1 + 13) = 12 cdot 14 = 168. Therefore, the sum of all positive divisors of 143 is boxed{168}.

answer:The ratio of time spent on reading to hanging out with friends is 4:10. If Susan spent 8 hours reading, we can set up a proportion to find out how many hours she spent hanging out with her friends. Let's call the number of hours she spent hanging out with her friends "x". The proportion based on the given ratio is: 4 (reading) : 10 (hanging out) = 8 (actual reading hours) : x (actual hanging out hours) Now we can solve for x: 4/10 = 8/x Cross-multiply to solve for x: 4x = 10 * 8 4x = 80 x = 80 / 4 x = 20 Susan spent boxed{20} hours hanging out with her friends.